8-1 Basics of Hypothesis Testing 389 8. Systolic Blood Pressure Claim: Healthy adults have systolic blood pressure levels with a standard deviation greater than 5 mm Hg. Sample data: Data Set 1 “Body Data” in Appendix B shows that for 300 healthy adults, the systolic blood pressure amounts have a standard deviation of 15.85 mm Hg. Test Statistics. In Exercises 9–12, refer to the exercise identified and find the value of the test statistic. (Refer to Table 8-2 on page 378 to select the correct expression for evaluating the test statistic.) 9. Exercise 5 “Landline Phones” 10. Exercise 6 “Light Year” 11. Exercise 7 “Systolic Blood Pressure” 12. Exercise 8 “Systolic Blood Pressure” Finding P-Values. In Exercises 13–16, do the following: a. Identify the hypothesis test as being two-tailed, left-tailed, or right-tailed. b. Find the P-value. (See Figure 8-3 on page 380.) c. Using a significance level of a = 0.05, should we reject H0 or should we fail to reject H0? 13. The test statistic of z = -0.75 is obtained when testing the claim that p 6 1>3. 14. The test statistic of z = 2.00 is obtained when testing the claim that p 7 0.25. 15. The test statistic of z = 1.80 is obtained when testing the claim that p ≠ 0.314. 16. The test statistic of z = -1.60 is obtained when testing the claim that p ≠ 0.455. Finding Critical Values. In Exercises 17–20, refer to the information in the given exercise and use a 0.05 significance level for the following. a. Find the critical value(s). b. Should we reject H0 or should we fail to reject H0? 17. Exercise 13 18. Exercise 14 19. Exercise 15 20. Exercise 16 Final Conclusions. In Exercises 21–24, use a significance level of A = 0.05 and use the given information for the following: a. State a conclusion about the null hypothesis. (Reject H0 or fail to reject H0.) b. Without using technical terms or symbols, state a final conclusion that addresses the original claim. 21. Original claim: More than 58% of adults would erase all of their personal information online if they could. The hypothesis test results in a P-value of 0.3257. 22. Original claim: More than 35% of air travelers would choose another airline to have access to inflight Wi-Fi. The hypothesis test results in a P-value of 0.00001. 23. Original claim: The mean pulse rate (in beats per minute) of adult males is 72 bpm. The hypothesis test results in a P-value of 0.0095. 24. Original claim: The standard deviation of pulse rates of adult males is more than 11 bpm. The hypothesis test results in a P-value of 0.3045.
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